13005305066 has 16 divisors (see below), whose sum is σ = 21142388904. Its totient is φ = 5964214464.

The previous prime is 13005305063. The next prime is 13005305107. The reversal of 13005305066 is 66050350031.

13005305066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6235471225 + 6769833841 = 78965^2 + 82279^2 .

It is not an unprimeable number, because it can be changed into a prime (13005305063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1588925 + ... + 1597088.

Almost surely, 2^13005305066 is an apocalyptic number.

13005305066 is a deficient number, since it is larger than the sum of its proper divisors (8137083838).

13005305066 is a wasteful number, since it uses less digits than its factorization.

13005305066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186185.

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 13005305066 its reverse (66050350031), we get a palindrome (79055655097).

The spelling of 13005305066 in words is "thirteen billion, five million, three hundred five thousand, sixty-six".